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On the Strong Summability by Triangular Means of the Derived Fourier Series and its Conjugate Series

Published online by Cambridge University Press:  20 November 2018

Narendra K. Govil
Narendra K. Govil*
Affiliation:
University of Montreal
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The triangular matrix (A) = (X ), where n = 0, 1, 2,…; k = 0, 1, 2, …; and λn, k = 0 for k > n is regular (in the sense of defining a regular sequence to sequence transform) if

  • for every fixed k ;

  • independently of n;

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 5 , December 1966 , pp. 647 - 654
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Prasad, B.N. and Singh, U.N., On the strong summability of the derived Fourier series and its conjugate series. Math. Z. 56 (1952), pages 280-288.Google Scholar
2. Prasad, B.N. and Singh, U.N., Corrigenda and Addenda to paper [1]. Math. Z. 57 (1953), pages 481-482.Google Scholar
3. Siddiqi, J. A., On the Fourier coefficients of the continuous function of bounded variation. Math. Ann. 143 (1961), pages 103-108.Google Scholar